Answer:
x = 
Step-by-step explanation:
Answer: 41 or 85
<u>Step-by-step explanation:</u>
Range is the difference between the largest number and the smallest number.
The largest number is 72. 72 - 31 = 41
The smallest number is 54. 54 + 31 = 85
Adding either ONE of those numbers will result in a range of 31.
Answer:
Less than 1
Step-by-step explanation:
As 0.644 and 0.25 are less than 1, then
where p and q are greater than 1
then
But p.q is greater than 1, so 1/(p.q) is smaller than 1
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:

Likewise:

Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

Likewise:

Since ∠QAC ≅ ∠PAB:

And by substitution:

Thus:

Then by SAS Congruence:

And by CPCTC:
